3 papers
math.AG2025
Totally mixed conditional independence equilibria of generic games
Matthieu Bouyer, Irem Portakal, Javier Sendra-Arranz
This paper further develops the algebraic--geometric foundations of conditional independence (CI) equilibria, a refinement of dependency equilibria that integrates conditional inde…
math.AG2024
Game theory of undirected graphical models
Irem Portakal, Javier Sendra-Arranz
An -player game in normal form can be modeled via undirected discrete graphical models where the discrete random variables represent the players and their state spaces are t…
math.AG2022
Nash conditional independence curve
Irem Portakal, Javier Sendra-Arranz
We study the Spohn conditional independence (CI) variety of an -player game for undirected graphical models on binary random variables consisting of one edge. For…